{
  "id": 5278,
  "curve_key": "1026416936688:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-21383686181",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 82.97128545351514,
  "faltings_height": 4.982514199434418,
  "conductor": "14632385109999691672352",
  "bad_primes": [
    "2",
    "11",
    "13",
    "17",
    "29",
    "53",
    "59",
    "97"
  ],
  "discriminant": "625788662543541143456668484335424",
  "regulator": "290050.6114868279501969613876048096152136506404284251",
  "points": [
    [
      "-99297",
      "33827178"
    ],
    [
      "-97291",
      "34051850"
    ],
    [
      "-20040943/256",
      "141549180409/4096"
    ],
    [
      "-3273556/25",
      "2944563622/125"
    ],
    [
      "-1204544/9",
      "581945320/27"
    ],
    [
      "-378131/9",
      "775168550/27"
    ],
    [
      "-62127/4",
      "144969903/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castañeda–Peral parametrization at tuple (2,6,13,14), reduced by rational fourth-power scaling. Reference: “High rank elliptic curves with torsion group Z/(2Z),” Math. Comp. 73 (2004), 323–331, doi:10.1090/S0025-5718-03-01547-3.",
  "created_at": "2026-10-21 11:54:40",
  "updated_at": "2026-10-21 11:54:40"
}